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B6811 Pages: 3

K
pe

Fig. 2
Design a suitable compensator for the system with open-loop transfer function
1
G(s)H(s) =———————- so that the over shoot to a unit step input to be limited
s(s+1)(s +2)

to 20% and the transient to be settled with in 3s.
Briefly explain Ziegler — Nichol’s PID tuning rules.

Write the design steps of lead compensator based on frequency domain approach.

PART C
Answer any two full questions, each carries 10 marks.

Find the complete response of the system

“0 1 2 1 ന്നി 0
x= ‏و‎ 3 24+ 0 1 (^), x( )= 0
u(t)

1 0
and y(t)= / to the following input, U(t) = | where 1/(1) is the unit step

input.

Transform the system in to controllable canonical form

٠. |-1 1 2
x= 0 2 x+ | u and } = [1 212:

State and explain sampling theorem
Consider a system defined by

|" [ಟ್ಟೆ and ನಗ 0

Using state feedback control w=—Kx, it is desired to have the closed loop poles
ats = —3 and, ‏و‎ =—4, determine the state feedback gain matrix K.

What is pulse transfer function?
PART D

Answer any two full questions, each carries 10 marks.

Obtain the describing function of saturation non-linearity
A common form of an electronic oscillator is represented as shown in Fig. 3. For
what value of K, the possibility of limit cycle predicted? If K=3, determine

amplitude and frequency of limit cycle. Also find the maximum value of K for the

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